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5435775345 = 35711131632221
BaseRepresentation
bin1010000111111111…
…10101100101110001
3112000211100222221210
411003333311211301
542113024302340
62255215310333
7251463220350
oct50377654561
915024328853
105435775345
11233a398520
12107851b3a9
13688217b20
14397cd9997
1521c335180
hex143ff5971

5435775345 has 128 divisors (see below), whose sum is σ = 11754344448. Its totient is φ = 2071526400.

The previous prime is 5435775299. The next prime is 5435775419.

5435775345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5435775345 - 26 = 5435775281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5435775294 and 5435775303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2446335 + ... + 2448555.

It is an arithmetic number, because the mean of its divisors is an integer number (91830816).

Almost surely, 25435775345 is an apocalyptic number.

5435775345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5435775345 is an abundant number, since it is smaller than the sum of its proper divisors (6318569103).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5435775345 is a wasteful number, since it uses less digits than its factorization.

5435775345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423.

The product of its digits is 4410000, while the sum is 48.

The square root of 5435775345 is about 73727.7108352077. The cubic root of 5435775345 is about 1758.2764791831.

The spelling of 5435775345 in words is "five billion, four hundred thirty-five million, seven hundred seventy-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 163 165 195 231 273 385 429 455 489 715 815 1001 1141 1155 1365 1793 2119 2145 2221 2445 3003 3423 5005 5379 5705 6357 6663 8965 10595 11105 12551 14833 15015 15547 17115 23309 24431 26895 28873 31785 33315 37653 44499 46641 62755 69927 73293 74165 77735 86619 116545 122155 144365 163163 171017 188265 202111 222495 233205 317603 349635 362023 366465 433095 489489 513051 606333 815815 855085 952809 1010555 1086069 1588015 1810115 2223221 2447445 2534161 2565255 3031665 3982253 4706299 4764045 5430345 6669663 7602483 11116105 11946759 12670805 14118897 19911265 23531495 27875771 32944093 33348315 38012415 51769289 59733795 70594485 83627313 98832279 139378855 155307867 164720465 258846445 362385023 418136565 494161395 776539335 1087155069 1811925115 5435775345